6(2s-1)+15=4(s-1)-(2s+3)

Solution for 6(2s-1)+15=4(s-1)-(2s+3) equation:

Simplifying
6(2s + -1) + 15 = 4(s + -1) + -1(2s + 3)

Reorder the terms:
6(-1 + 2s) + 15 = 4(s + -1) + -1(2s + 3)
(-1 * 6 + 2s * 6) + 15 = 4(s + -1) + -1(2s + 3)
(-6 + 12s) + 15 = 4(s + -1) + -1(2s + 3)

Reorder the terms:
-6 + 15 + 12s = 4(s + -1) + -1(2s + 3)

Combine like terms: -6 + 15 = 9
9 + 12s = 4(s + -1) + -1(2s + 3)

Reorder the terms:
9 + 12s = 4(-1 + s) + -1(2s + 3)
9 + 12s = (-1 * 4 + s * 4) + -1(2s + 3)
9 + 12s = (-4 + 4s) + -1(2s + 3)

Reorder the terms:
9 + 12s = -4 + 4s + -1(3 + 2s)
9 + 12s = -4 + 4s + (3 * -1 + 2s * -1)
9 + 12s = -4 + 4s + (-3 + -2s)

Reorder the terms:
9 + 12s = -4 + -3 + 4s + -2s

Combine like terms: -4 + -3 = -7
9 + 12s = -7 + 4s + -2s

Combine like terms: 4s + -2s = 2s
9 + 12s = -7 + 2s

Solving
9 + 12s = -7 + 2s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-2s' to each side of the equation.
9 + 12s + -2s = -7 + 2s + -2s

Combine like terms: 12s + -2s = 10s
9 + 10s = -7 + 2s + -2s

Combine like terms: 2s + -2s = 0
9 + 10s = -7 + 0
9 + 10s = -7

Add '-9' to each side of the equation.
9 + -9 + 10s = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 10s = -7 + -9
10s = -7 + -9

Combine like terms: -7 + -9 = -16
10s = -16

Divide each side by '10'.
s = -1.6

Simplifying
s = -1.6